document.write( "Question 545012: Find the reciprocal of 3-4i/10 \n" ); document.write( "
Algebra.Com's Answer #355379 by stanbon(75887) ![]() You can put this solution on YOUR website! Find the reciprocal of 3-4i/10 \n" ); document.write( "----- \n" ); document.write( "[(3-4i)/10]^-1 = 10/(3-4i) \n" ); document.write( "---- \n" ); document.write( "Multiply numerator and denominator by 3+4i to get: \n" ); document.write( "---- \n" ); document.write( "= [10(3+4i)]/[9+16] \n" ); document.write( "---- \n" ); document.write( "= (10/25)(3+4i) \n" ); document.write( "---- \n" ); document.write( "= (2/5)(3+4i) \n" ); document.write( "================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "================= \n" ); document.write( " |